Question

a pendulum clock having Copper keeps time at 20 degree Celsius it gains 15 second per day if cooled to 0°C celsius calculate the coefficient of linear expansion of copper.​

Answer 1

Answer:

fractional increment in time with Temperature change

             tΔt=21αΔT               eq(1)

where

     tΔt = fractional increment

     α = coefficient of linear expansion

     ΔT= change in temperature

         T0=20oC ,clocks shows correct time, and  T=0oC it gains 15 s

         tΔt = 24×60×6015

         ΔT = T0−T =20 - 0 = 200C

         

substitute values back to eq(1)

         24×60×6015 = 21×α×(20)

         8640015 = 10×α

solve for α

         α=1.7×10−5/oC

Answer 2

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